Two different numerical methods for the finite element solution of nonlinear Maxwell equations in the time domain are discussed: the Galerkin formulation and the constitutive error based approach. The scattering of a plane wave from a nonlinear dielectric slab is analysed. A general analytical solution for this class of problems is derived and compared with the numerical solutions.

Finite element solution of nonlinear Maxwell equations in the time domain

MIANO, GIOVANNI;
1994-01-01

Abstract

Two different numerical methods for the finite element solution of nonlinear Maxwell equations in the time domain are discussed: the Galerkin formulation and the constitutive error based approach. The scattering of a plane wave from a nonlinear dielectric slab is analysed. A general analytical solution for this class of problems is derived and compared with the numerical solutions.
1994
Boundary value problems
Electromagnetic fields
Electromagnetic wave propagation
Electromagnetic wave scattering
Errors
Nonlinear equations
Optimization
Time domain analysis
Vectors
Constitutive error based approach
Edge element based functions
Galerkin formulation
Nonlinear Maxwell equations
Vector potential
Finite element method
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14246/2792
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